Respuesta :
Answer:
The percentage increase in the production cost of the printer is 3%.
Step-by-step explanation:
We are given that the production of a printer consists of the cost of raw material at 100 dollars the cost of overheads at 80$ and wages at 120$.
Also, the cost of raw materials and overheads are increased by 11% and 20% respectively while wages are decreased by 15%.
Cost of raw material = $100
Cost of overheads = $80
Cost of wages = $120
So, the total cost of the printer = $100 + $80 + $120
                          = $300
Now, the increase in the cost of raw material = $100 + 11% of $100
                                      = [tex]\$100 + (\frac{11}{100} \times \$100)[/tex]
                                      = $100 + $11 = $111
The increase in the cost of overheads = $80 + 20% of $80
                                = [tex]\$80 + (\frac{20}{100} \times \$80)[/tex]
                                = $80 + $16 = $96
The decrease in the cost of wages = $120 - 15% of $120
                             = [tex]\$120 - (\frac{15}{100} \times \$120)[/tex]
                             = $120 - $18 = $102
So, the new cost of a printer = $111 + $96 + $102 = $309
Now, the percentage increase in the production cost of the printer is given by;
   % increase =  [tex]\frac{\text{Net increase in the cost of printer}}{\text{Original cost of printer}} \times 100[/tex]
             =  [tex]\frac{\$309- \$300}{\$300} \times 100[/tex]
             =  3%
Hence, the percentage increase in the production cost of the printer is 3%.
